3-dimensional Cauchy-riemann Structures and 2 Nd Order Ordinary Differential Equations

Abstract

The equivalence problem for second order ODEs given modulo point transformations is solved in full analogy with the equivalence problem of nondegenerate 3-dimensional CR structures. This approach enables an analog of the Feffereman metrics to be defined. The conformal class of these (split signature) metrics is well defined by each point equivalence class… (More)

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